Error estimate of full-discrete numerical scheme for the nonlocal Allen-Cahn model
DOI10.3770/j.issn:2095-2651.2024.03.007MaRDI QIDQ6583603
Yu Zhang, Zhimei Ji, Xiaohu Yang, Jun Zhang, Fulin Mei
Publication date: 6 August 2024
Published in: Journal of Mathematical Research with Applications (Search for Journal in Brave)
numerical testserror estimateuniquely solvableunconditionally energy stablenonlocal Allen-Cahn model
Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical solutions to equations with nonlinear operators (65J15) Algorithms with automatic result verification (65G20) Initial value problems for second-order parabolic systems (35K45)
Cites Work
- Unnamed Item
- Second order convex splitting schemes for periodic nonlocal Cahn-Hilliard and Allen-Cahn equations
- Convergence of a mass conserving Allen-Cahn equation whose Lagrange multiplier is nonlocal and local
- Mass conserving Allen-Cahn equation and volume preserving mean curvature flow
- Arbitrarily high order structure-preserving algorithms for the Allen-Cahn model with a nonlocal constraint
- Unconditionally energy stable linear schemes for the diffuse interface model with Peng-Robinson equation of state
- Numerical approximations for the molecular beam epitaxial growth model based on the invariant energy quadratization method
- Numerical approximations for a phase-field moving contact line model with variable densities and viscosities
- A phase field model for the mixture of two incompressible fluids and its approximation by a Fourier-spectral method
- Error estimates of energy stable numerical schemes for Allen-Cahn equations with nonlocal constraints
- Efficient decoupled second-order numerical scheme for the flow-coupled Cahn-Hilliard phase-field model of two-phase flows
- Decoupled finite element scheme of the variable-density and viscosity phase-field model of a two-phase incompressible fluid flow system using the volume-conserved Allen-Cahn dynamics
- Highly efficient and unconditionally energy stable semi-discrete time-marching numerical scheme for the two-phase incompressible flow phase-field system with variable-density and viscosity
- A second-order time accurate and fully-decoupled numerical scheme of the Darcy-Newtonian-nematic model for two-phase complex fluids confined in the Hele-Shaw cell
- Unconditionally energy stable large time stepping method for the \(L^2\)-gradient flow based ternary phase-field model with precise nonlocal volume conservation
- Error analysis of full-discrete invariant energy quadratization schemes for the Cahn-Hilliard type equation
- Efficient linear schemes with unconditional energy stability for the phase field elastic bending energy model
- A novel linear second order unconditionally energy stable scheme for a hydrodynamic \(\mathbf{Q} \)-tensor model of liquid crystals
- Numerical approximations for a new \(L^2\)-gradient flow based phase field crystal model with precise nonlocal mass conservation
- A modified phase field approximation for mean curvature flow with conservation of the volume
- Convergence analysis for second-order accurate schemes for the periodic nonlocal Allen-Cahn and Cahn-Hilliard equations
- Approximation Results for Orthogonal Polynomials in Sobolev Spaces
- Nonlocal reaction—diffusion equations and nucleation
- Quasi–incompressible Cahn–Hilliard fluids and topological transitions
- DIFFUSE-INTERFACE METHODS IN FLUID MECHANICS
- Fully-discrete finite element numerical scheme with decoupling structure and energy stability for the Cahn–Hilliard phase-field model of two-phase incompressible flow system with variable density and viscosity
- Free Energy of a Nonuniform System. I. Interfacial Free Energy
- Numerical approximations for a three-component Cahn–Hilliard phase-field model based on the invariant energy quadratization method
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